258127968 has 96 divisors (see below), whose sum is σ = 792481536. Its totient is φ = 72027648.

The previous prime is 258127963. The next prime is 258127981. The reversal of 258127968 is 869721852.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258127963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24430 + ... + 33362.

It is an arithmetic number, because the mean of its divisors is an integer number (8255016).

Almost surely, 2^258127968 is an apocalyptic number.

258127968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258127968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396240768).

258127968 is an abundant number, since it is smaller than the sum of its proper divisors (534353568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258127968 is a wasteful number, since it uses less digits than its factorization.

258127968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8996 (or 8988 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 258127968 is about 16066.3613802255. The cubic root of 258127968 is about 636.7149114445.

The spelling of 258127968 in words is "two hundred fifty-eight million, one hundred twenty-seven thousand, nine hundred sixty-eight".